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Öğe A new result of preši? type theorems with applications to second order boundary value problems(University of Nis, 2021) Altun, Ishak; Qasim, Muhammad; Olgun, MuratIn this paper, taking into account the recent contractive technique we present a new result of Preši? type fixed point theorems. Then, we provide a comparative example to put forth the validity of our theoretical result. Finally, considering a special case of the main theorem, we give some existence results for the second order two point boundary value problems. © 2021, University of Nis. All rights reserved.Öğe A New Result of Presic Type Theorems with Applications to Second Order Boundary Value Problems(Univ Nis, Fac Sci Math, 2021) Altun, İshak; Qasim, Muhammad; Olgun, MuratIn this paper, taking into account the recent contractive technique we present a new result of Presic type fixed point theorems. Then, we provide a comparative example to put forth the validity of our theoretical result. Finally, considering a special case of the main theorem, we give some existence results for the second order two point boundary value problems.Öğe Fixed Point Results for F-contractions on Space with Two Metrics(Univ Nis, Fac Sci Math, 2017) Olgun, Murat; Alyildiz, Tugce; Bicer, Ozge; Altun, IshakIn this paper, taking into account two metrics on a space, we present a new fixed point theorem for F-contractions. Our theorem includes both Agarwal and O'Regan's and Wardowski's results as properly. Also we provide a nontrivial example showing this fact.Öğe Fixed points of F-contractive type fuzzy mappings(Ios Press, 2017) Minak, Gulhan; Altun, Ishak; Olgun, MuratIn this paper, taking into account the recent contractive technique, which was introduced by Wardowski [18], we present a fixed point theorem for F-contractive type fuzzy mappings over a complete metric space.Öğe Fixed points of multivalued nonlinear F-contractions on complete metric spaces(Inst Mathematics & Informatics, 2016) Altun, Ishak; Minak, Gulhan; Olgun, MuratWe introduce a new concept for multivalued maps, also called multivalued nonlinear F-contraction, and give a fixed point result. Our result is a proper generalization of some recent fixed point theorems including the famous theorem of Klim and Wardowski.Öğe I-yakınsaklık(Kırıkkale Üniversitesi, 2004) Olgun, Murat; Aydın, Ali Paşa; Demirci, Y.KamilÖZET /-YAKINSAKLIK OLGUN, Murat Kırıkkale Üniversitesi Fen Bilimleri Enstitüsü Matematik Anabilim Dalı, Yüksek Lisans Tezi Danışman : Yrd.Doç.Dr.Kamil DEMİRCİ Ortak Danışman: Ali Paşa AYDIN Temmuz 2004, 54 Sayfa Bu yüksek lisans tezi dört bölümden oluşmaktadır. Birinci bölüm giriş için ayrılmıştır. İkinci bölümde sırası ile istatistiksel yakınsaklık, A-istatistiksel yakınsaklık ve /y -istatistiksel yakınsaklık kavramları tanıtılıp bunlara ilişkin bazı bilinen sonuçlar verilmiştir. Üçüncü bölümde ise /-yakınsaklık ve /-limit noktaları kavramları verilip bunların özellikleri incelenmiştir Ayrıca /* -yakınsaklık kavramı tanıtılıp, /-yakınsaklık ve I* -yakınsaklığın yakınsaklık alanları incelenmiştir. Son bölüm ise tartışma ve sonuç için ayrılmıştır. Anahtar Kelimeler : İstatistiksel yakınsaklık, /u - İstatistiksel yakınsaklık, /-yakınsaklık, /* -yakınsaklık, /-limit superior, /-limit inferior.Öğe MAIA TYPE FIXED POINT RESULTS FOR MULTIVALUED F-CONTRACTIONS(Univ Miskolc Inst Math, 2021) Olgun, Murat; Alyildiz, Tugce; Bicer, Ozge; Altun, IshakIn this paper, by considering the Wardowski's technique, we present fixed point results for multivalued mapping on a space with two metrics. Also, taking into account a-admissibility of a multivalued mapping, we provide some more general results.Öğe A new approach to fixed point theorems for multivalued contractive maps(North Univ Baia Mare, 2015) Minak, Gulhan; Olgun, Murat; Altun, IshakIn the present paper, considering the Wardowski's technique we give many fixed point results for multivalued maps on complete metric space without using the Hausdorff metric. Our results are real generalization of some related fixed point theorems including the famous Feng and Liu's result in the literature. We also give some examples to both illustrate and show that our results are proper generalizations of the mentioned theorems.Öğe A New Approach To Mizoguchi-Takahashi Type Fixed Point Theorems(Yokohama Publ, 2016) Olgun, Murat; Minak, Gulhan; Altun, IshakIn the present paper, we give a generalization of Mizoguchi-Takahashi's fixed point theorem, which is a partial solution of Reich's original problem concerning multivalued mappings on complete metric spaces.Öğe A new approach to the Assad-Kirk fixed point theorem(Springer Basel Ag, 2016) Altun, Ishak; Olgun, Murat; Minak, GulhanIn the present paper, considering the Wardowski's technique, we give a new approach to the Assad-Kirk fixed point theorem on metrically convex metric spaces. We also provide a nontrivial example showing that our result is a proper extension of the Assad-Kirk fixed point theorem.Öğe On A New Class Of Multivalued Weakly Picard Operators On Complete Metric Spaces(Mathematical Soc Rep China, 2015) Altun, Ishak; Olgun, Murat; Minak, GulhanIn the present paper, the concept of nonlinear F-contraction for multivalued mappings in metric spaces is introduced and considering the new proof technique, which was used for single valued maps by Wardowski [D. Wardowski, Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl. 2012, 2012: 94, 6 pp.], we demonstrate that multivalued nonlinear F-contractions of Ciric type are weakly Picard operators on complete metric spaces. Finally, we give a nontrivial example to guarantee that our result is veritable generalization of recent result of Ciric [Lj. B. Ciric, Multi-valued nonlinear contraction mappings, Nonlinear Analysis, 71 (2009), 2716-2723]. Also, we show that many fixed point results in the literature can not be applied to this example.Öğe P-Contractive Mappings On Metric Spaces(Mathematical Research Press-Math Res, 2018) Altun, Ishak; Durmaz, Gonca; Olgun, MuratIn the present paper, we introduce a new concept of P-contractive mappings on metric spaces. We prove that every ordinary contractive mapping is also P-contractive but the converse may not be true in general. We provide an example to illustrate this fact and also provide some examples to show that nonexpensive mappings and P-contractive mappings are independent on metric spaces. Finally, we present that every continuous P-contractive mapping on compact metric spaces has a unique fixed point. This result includes the famous Edelstein fixed point theorem.Öğe A Related Fixed Point Theorem for F-Contractions on Two Metric Spaces(Hacettepe Univ, Fac Sci, 2019) Olgun, Murat; Bicer, Ozge; Alyildiz, Tugce; Altun, IshakRecently, Wardowski in [Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl. 2012] introduced the concept of F-contraction on complete metric space which is a proper generalization of Banach contraction principle. In the present paper, we proved a related fixed point theorem with F-contraction mappings on two complete metric spaces.Öğe Some new types multivalued F-contractions on quasi metric spaces and their fixed points(North Univ Baia Mare, 2019) Hancer, Hatice Aslan; Olgun, Murat; Altun, IshakIn this paper we present two new results for the existence of fixed points of multivalued mappings with closed values on quasi metric space. First we introduce the multivalued F-d-contraction on quasi metric space (X, d) and give a fixed point result related to this concept. Then taking into account the Q-function on a quasi metric space, we establish a Q-function version of this concept as multivalued F-q-contraction and hence we present a fixed point result to see the effect of Q-function to existence of fixed point of multivalued mappings on quasi metric space.
